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LESSON 4-1 DIVISIBILITY

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Course 1 4-1 Divisibility Warm Up 1. 20 2. 48 3. 16 Write each number as a product of two whole numbers in as many ways as possible. 1 20, 2 10, 4 5 1 48, 2 24, 3 16, 4 12, 6 8 1 16, 2 8, 4 4

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Course 1 4-1 Divisibility Learn to use divisibility rules.

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**Insert Lesson Title Here**

Course 1 4-1 Divisibility Insert Lesson Title Here Vocabulary divisible composite number prime number

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**42 ÷ 6 = 7 Quotient 4-1 Divisibility**

Course 1 4-1 Divisibility A number is divisible by another number if the quotient is a whole number with no remainder. 42 ÷ 6 = 7 Quotient

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**4-1 Divisibility Divisibility Rules A number is divisible by. . .**

Course 1 4-1 Divisibility Divisibility Rules A number is divisible by. . . Divisible Not Divisible 2 if the last digit is even (0, 2, 4, 6, or 8). 3,978 4,975 3 if the sum of the digits is divisible by 3. 315 139 4 if the last two digits form a number divisible by 4. 8,512 7,518 5 if the last digit is 0 or 5. 14,975 10,978 6 if the number is divisible by both 2 and 3 48 20 9 if the sum of the digits is divisible by 9. 711 93 10 if the last digit is 0. 15,990 10,536

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**Additional Example 1A: Checking Divisibility**

Course 1 4-1 Divisibility Additional Example 1A: Checking Divisibility Tell whether 462 is divisible by 2, 3, 4, and 5. 2 3 4 5 The last digit, 2, is even. Divisible The sum of the digits is = is divisible by 3. Divisible The last two digits form the number is not divisible by 4. Not divisible Not divisible The last digit is 2. So 462 is divisible by 2 and 3.

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**Additional Example 1B: Checking Divisibility**

Course 1 4-1 Divisibility Additional Example 1B: Checking Divisibility Tell whether 540 is divisible by 6, 9, and 10. 6 9 10 The number is divisible by both 2 and 3. Divisible The sum of the digits is = is divisible by 9. Divisible The last digit is 0. Divisible So 540 is divisible by 6, 9, and 10.

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Course 1 4-1 Divisibility Any number greater than 1 is divisible by at least two numbers—1 and the number itself. Numbers that are divisible by more than two numbers are called composite numbers. A prime number is divisible by only the numbers 1 and itself. For example, 11 is a prime number because it is divisible by only 1 and 11. The numbers 0 and 1 are neither prime nor composite.

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Course 1 4-1 Divisibility Click to see which numbers from 1 through 50 are prime. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

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**Additional Example 2: Identifying Prime and Composite Numbers**

Course 1 4-1 Divisibility Additional Example 2: Identifying Prime and Composite Numbers Tell whether each number is prime or composite. A. 23 divisible by 1, 23 prime B. 48 divisible by 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. composite

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**Additional Example 2: Identifying Prime and Composite Numbers**

Course 1 4-1 Divisibility Additional Example 2: Identifying Prime and Composite Numbers Tell whether each number is prime or composite. C. 31 divisible by 1, 31 prime D. 18 divisible by 1, 2, 3, 6, 9, 18 composite

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**Insert Lesson Title Here**

Course 1 4-1 Divisibility Insert Lesson Title Here Lesson Quiz Tell whether each number is divisible by 2, 3, 4, 5, 6, 9, and 10. 1. 256 2. 720 3. 615 Tell whether each number is prime or composite. divisible by 2, 4 divisible by 2, 3, 4, 5, 6, 9, 10 divisible by 3, 5 prime composite

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